Question: 12 (1 point) Consider the vector field F (x, y, z) = (2z + 4y) i + (2z + 4x) j + (2y + 2x)

 12 (1 point) Consider the vector field F (x, y, z)

12

= (2z + 4y) i + (2z + 4x) j + (2y

(1 point) Consider the vector field F (x, y, z) = (2z + 4y) i + (2z + 4x) j + (2y + 2x) k. a) Find a function f such that F - Vf and f(0, 0, 0) = 0. f (z, y, z) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1) . Use part a) to compute the line integral , F . dr

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